8982000 has 120 divisors (see below), whose sum is σ = 31434000. Its totient is φ = 2390400.

The previous prime is 8981989. The next prime is 8982007. The reversal of 8982000 is 2898.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8982007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17751 + ... + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (261950).

Almost surely, 2^8982000 is an apocalyptic number.

8982000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717000).

8982000 is an abundant number, since it is smaller than the sum of its proper divisors (22452000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8982000 is a wasteful number, since it uses less digits than its factorization.

8982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8982000 is about 2996.9984984981. The cubic root of 8982000 is about 207.8696174993.

Adding to 8982000 its reverse (2898), we get a palindrome (8984898).

The spelling of 8982000 in words is "eight million, nine hundred eighty-two thousand".